Understanding Even and Odd Trigonometric Functions

The video tutorial explains the concepts of even and odd trigonometric functions, focusing on cosine, secant, sine, tangent, and their applications. It demonstrates how to apply these properties using the unit circle and explores the behavior of these functions in different quadrants. The tutorial concludes with practical examples, including finding the values of trigonometric functions at specific angles.

Which of the following is an even trigonometric function?

• Sine

• Tangent

• Cosecant

• Cosine

What is the cosine of -45° equivalent to?

• Cosine of 45°

• Negative sine of 45°

• Negative cosine of 45°

• Sine of 45°

In which quadrant is the sine of an angle negative?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

What is the value of tangent at 3π/4?

• 1

• -1

• 0

• Undefined

Why is tangent considered an odd function?

• It is always negative

• It changes sign with negative angles

• It is positive in all quadrants

• It is undefined at 90°

What is the cosecant of 5π/6 equivalent to?

• 1/2

• -1/2

• 2

• -2

Which quadrant is 11π/6 located in?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

What is the secant of -11π/6 equivalent to?

• -√3/2

• √3/2

• -2/√3

• 2/√3

What is the value of tangent at π?

• 0

• 1

• -1

• Undefined

How does the sign of tangent change in different quadrants?

• Positive in all quadrants

• Negative in all quadrants

• Positive in Quadrants I and III

• Negative in Quadrants I and III